What is the Greatest Common Factor of 40598 and 40617?

Greatest common factor (GCF) of 40598 and 40617 is 1.

GCF(40598,40617) = 1

We will now calculate the prime factors of 40598 and 40617, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40598 and 40617.

How to find the GCF of 40598 and 40617?

We will first find the prime factorization of 40598 and 40617. After we will calculate the factors of 40598 and 40617 and find the biggest common factor number .

Step-1: Prime Factorization of 40598

Prime factors of 40598 are 2, 53, 383. Prime factorization of 40598 in exponential form is:

40598 = 2¹ × 53¹ × 383¹

Step-2: Prime Factorization of 40617

Prime factors of 40617 are 3, 4513. Prime factorization of 40617 in exponential form is:

40617 = 3² × 4513¹

Step-3: Factors of 40598

List of positive integer factors of 40598 that divides 40598 without a remainder.

1, 2, 53, 106, 383, 766, 20299

Step-4: Factors of 40617

List of positive integer factors of 40617 that divides 40598 without a remainder.

1, 3, 9, 4513, 13539

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40598 and 40617. The biggest common factor number is the GCF number.
So the greatest common factor 40598 and 40617 is 1.

Also check out the Least Common Multiple of 40598 and 40617